Question

A man is parasailing on a lake. The rope he is holding is 150 feet long and he is 45 feet above the water. What is the horizontal distance between the man and the boat? Round your answer to the nearest tenth.​

Answer 1

9514 1404 393

Answer:

143.1 ft

Explanation:

Assuming the rope is tied to the boat, and that the geometry can be modeled by a right triangle, the Pythagorean theorem is helpful.

150² = 45² + d²

d = √(150² -45²) = √20475 ≈ 143.1 . . . . feet

The horizontal distance between the man and the boat is about 143.1 feet.